Tentukan nilai n yang memenuhi 2 + 2² + 2³ + ... + 2n = 510

Deret Geometri

2(1 + 2 + 2² + .. + n) = 510
1 + 2 + 2² + ... + n = 510/2 = 255

a = 1
r = U2/a = 2

Sn = a(r^n - 1)/(r - 1)
255 = r^n - 1
2^n = 256
n = 8 ✔